MSc (Mathematics) thesis defence talks
2.00 pm, Seminar Hall
Moduli space of spatial polygons
Sambit Senapati
Chennai Mathematical Institute.
17-04-19

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Abstract

The moduli space of polygons is defined to be the space of closed piecewise linear paths in R^2 or R^3 modulo orientation preserving isometries. They can be realised as quotients of Grassmannians. If we further fix the length of each step, the moduli spaces so obtained in the spatial case can be seen as symplectic quotients. In this talk, I will introduce these spaces and outline a method for computing their cohomology ring structure.